Significant Digits and Zeros in Numbers

In this content, you will learn about significant digits and zeros in numbers. Discover how to determine the number of significant digits, understand the significance of zeros, and more. From identifying significant digits to recognizing non-significant zeros, each question provides insights into numerical calculations. Improve your number understanding skills with these informative explanations and answers.

• Mathematics
• Numbers
• Significant Digits
• Zero Place Value
• Calculations

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Uploaded on Mar 04, 2025 | 1 Views

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Presentation Transcript

2. How Many? Multiply/Divide Mix It Up! Conversions Add/Subtract 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

3. Question 1 - 10 How many significant Digits are in this number: 1422

4. Answer 1 10 4! All numbers present are between 1 and 9. C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

5. Question 1 - 20 How many significant digits are in the following number? 200

6. Answer 1 20 There is only 1! The zeros don t count because the number doesn t have a decimal place in it! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

7. Question 1 - 30 How many significant ZEROs are in the following number? 0.0030050

8. Answer 1 30 3! The captures zeros and the trailing zero are the only ones that are significant! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

9. Question 1 - 40 What is the length of the following green bar?

10. Answer 1 40 1.25! The 1 and the 2 are in concrete, the 5 can be a different number that is reasonable. C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

11. Question 1 - 50 How many zeros in the following number are NOT significant? .0005050090

12. Answer 1 50 3! Only the zeros in the beginning of the number do not count! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

13. Question 2 - 10 Convert the following: 254.3 grams to Kilograms

14. Answer 2 10 .2543 Kg The number will get smaller because the unit gets bigger! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

15. Question 2 - 20 How many milliliters are in the following number? 0.0367 Liters

16. Answer 2 20 36.7 mL The number gets bigger because the unit gets smaller! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

17. Question 2 - 30 Which weighs more? 4.25 grams of Au or 425 mg of Au

18. Answer 2 30 4.25 grams does! Convert milligrams to grams and you get .425 mg! That is less than 4.25 grams! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

19. Question 2 - 40 What is the metric prefix that correspond to the following quantity? 10-2

20. Answer 2 40 Centi! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

21. Question 2 - 50 How many mL are in the following number? 87 DL

22. Answer 2 50 There are 870,000 mL! KHD*dcm C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

23. Question 3 - 10 What is the answer to the following addition problem? 212.2 + 26.7 + 402.09

24. Answer 3 10 Addition, so look for least # of decimal places! 641.0 C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

25. Question 3 - 20 What is the answer to the following addition problem? 2.01x102 + 3.014x103

26. Answer 3 20 3215 You have to take the numbers out of scientific notation to look at decimal places! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

27. Question 3 - 30 What is the answer to the following problem? 52.331 + 26.01 0.9981

28. Answer 3 30 77.34 Watch number of decimal places here! Add and subtract carry least number of decimal places to the answer. C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

29. Question 3 - 40 How many digits after the decimal point should be reported when the following calculation is performed? 199.0354 + 43.09 + 121.2

30. Answer 3 40 There should only be 1 decimal place in this answer! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

31. Question 3 - 50 How many digits after the decimal place should be reported when the following calculation is performed? 10,434 9.3344

32. Answer 3 50 There will not be any decimal places in this number! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

33. Question 4 - 10 What is the answer to the following division problem? 12.011 / 6.022x1023

34. Answer 4 10 1.995x10-23 We need to look at number of significant digits in the numbers of the problem least number determines answers sig figs! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

35. Question 4 - 20 What is the answer to the following problem? (4.031)(0.082068)(373.1) /.995

36. Answer 4 20 124 Remember least # of sig figs will be reported in the answer! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

37. Question 4 - 30 The answer to the following question should be written with how many significant digits? 2.3733x102/ 343

38. Answer 4 30 3! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

39. Question 4 - 40 When the following calculation is performed, the answer should be reported with how many significant digits? .0043*.0821*298

40. Answer 4 40 2! Remember least goes! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

41. Question 4 - 50 What is the answer to the following problem? (6.1982x10-4)2

42. Answer 4 50 3.8418x10-7 Or 3.8000x10 -7 C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

43. Question 5 - 10 What is the answer to the following problem? (2.0944+.0003233*12.22) /7.001

44. Answer 5 10 .2997 Remember your order of operations! Please Excuse My Dear Aunt Sally! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

45. Question 5 - 20 What is the answer to the following problem? [(1.42x102)+(1.021x103)]/ 3.1x10-1

46. Answer 5 20 3.8x103 C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

47. Question 5 - 30 Consider the following numbers 23.68 and 4.12. The sum of these numbers has how any significant digits? The product of these numbers has how many significant digits?

48. Answer 5 30 Sum has 4 Product has 3 C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

49. Question 5 - 40 You pour the water from these beakers into a separate container. What is the volume with the correct number of significant digits.

50. Answer 5 40 Your answer should range from 81 to 82 mL without any decimals! C:\Users\Robin\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\UKPIYV1G\MCj04421220000[1].png

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